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Kuta Software - Infinite Algebra 1          Name___________________________________

Multi-Step Equations                                      Date________________ Period____
Solve each equation.

1) −20 = −4 x − 6 x                  2) 6 = 1 − 2n + 5




3) 8 x − 2 = −9 + 7 x                4) a + 5 = −5a + 5




5) 4m − 4 = 4m                       6) p − 1 = 5 p + 3 p − 8




7) 5 p − 14 = 8 p + 4                8) p − 4 = −9 + p




9) −8 = −( x + 4)                    10) 12 = −4(−6 x − 3)




11) 14 = −( p − 8)                   12) −(7 − 4 x) = 9




13) −18 − 6k = 6(1 + 3k)             14) 5n + 34 = −2(1 − 7n)




15) 2(4 x − 3) − 8 = 4 + 2 x         16) 3n − 5 = −8(6 + 5n)




17) −(1 + 7 x) − 6(−7 − x) = 36      18) −3(4 x + 3) + 4(6 x + 1) = 43




19) 24a − 22 = −4(1 − 6a)            20) −5(1 − 5 x) + 5(−8 x − 2) = −4 x − 8 x
Kuta Software - Infinite Algebra 1          Name___________________________________

Multi-Step Equations                                      Date________________ Period____
Solve each equation.

1) −20 = −4 x − 6 x                  2) 6 = 1 − 2n + 5
     {2}                                  {0}


3) 8 x − 2 = −9 + 7 x                4) a + 5 = −5a + 5
     {−7}                                 {0}


5) 4m − 4 = 4m                       6) p − 1 = 5 p + 3 p − 8
     No solution.                         {1}


7) 5 p − 14 = 8 p + 4                8) p − 4 = −9 + p
     {−6}                                 No solution.


9) −8 = −( x + 4)                    10) 12 = −4(−6 x − 3)
     {4}                                  {0}


11) 14 = −( p − 8)                   12) −(7 − 4 x) = 9
     {−6}                                 {4}


13) −18 − 6k = 6(1 + 3k)             14) 5n + 34 = −2(1 − 7n)
     {−1}                                 {4}


15) 2(4 x − 3) − 8 = 4 + 2 x         16) 3n − 5 = −8(6 + 5n)
     {3}                                  {−1}


17) −(1 + 7 x) − 6(−7 − x) = 36      18) −3(4 x + 3) + 4(6 x + 1) = 43
     {5}                                  {4}


19) 24a − 22 = −4(1 − 6a)            20) −5(1 − 5 x) + 5(−8 x − 2) = −4 x − 8 x
     No solution.                         {−5}

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Solving multi step equations

  • 1. Kuta Software - Infinite Algebra 1 Name___________________________________ Multi-Step Equations Date________________ Period____ Solve each equation. 1) −20 = −4 x − 6 x 2) 6 = 1 − 2n + 5 3) 8 x − 2 = −9 + 7 x 4) a + 5 = −5a + 5 5) 4m − 4 = 4m 6) p − 1 = 5 p + 3 p − 8 7) 5 p − 14 = 8 p + 4 8) p − 4 = −9 + p 9) −8 = −( x + 4) 10) 12 = −4(−6 x − 3) 11) 14 = −( p − 8) 12) −(7 − 4 x) = 9 13) −18 − 6k = 6(1 + 3k) 14) 5n + 34 = −2(1 − 7n) 15) 2(4 x − 3) − 8 = 4 + 2 x 16) 3n − 5 = −8(6 + 5n) 17) −(1 + 7 x) − 6(−7 − x) = 36 18) −3(4 x + 3) + 4(6 x + 1) = 43 19) 24a − 22 = −4(1 − 6a) 20) −5(1 − 5 x) + 5(−8 x − 2) = −4 x − 8 x
  • 2. Kuta Software - Infinite Algebra 1 Name___________________________________ Multi-Step Equations Date________________ Period____ Solve each equation. 1) −20 = −4 x − 6 x 2) 6 = 1 − 2n + 5 {2} {0} 3) 8 x − 2 = −9 + 7 x 4) a + 5 = −5a + 5 {−7} {0} 5) 4m − 4 = 4m 6) p − 1 = 5 p + 3 p − 8 No solution. {1} 7) 5 p − 14 = 8 p + 4 8) p − 4 = −9 + p {−6} No solution. 9) −8 = −( x + 4) 10) 12 = −4(−6 x − 3) {4} {0} 11) 14 = −( p − 8) 12) −(7 − 4 x) = 9 {−6} {4} 13) −18 − 6k = 6(1 + 3k) 14) 5n + 34 = −2(1 − 7n) {−1} {4} 15) 2(4 x − 3) − 8 = 4 + 2 x 16) 3n − 5 = −8(6 + 5n) {3} {−1} 17) −(1 + 7 x) − 6(−7 − x) = 36 18) −3(4 x + 3) + 4(6 x + 1) = 43 {5} {4} 19) 24a − 22 = −4(1 − 6a) 20) −5(1 − 5 x) + 5(−8 x − 2) = −4 x − 8 x No solution. {−5}